Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 45316 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ q_1^4$ + $ M_3\phi_1^2q_2$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ | 1.7453 | 1.8453 | 0.9458 | [X:[1.4], M:[0.9, 0.8, 0.8], q:[0.5, 0.6], qb:[], phi:[0.3]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 6981/4000, c: 7381/4000, X1: 7/5, M1: 9/10, M2: 4/5, M3: 4/5, q1: 1/2, q2: 3/5, phi1: 3/10} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_1$, $ q_1^2$, $ q_1q_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ X_1$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1^2q_1^2$, $ M_1M_2$, $ M_1M_3$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_2q_1^2$, $ M_3q_1^2$, $ \phi_1^2q_2^2$, $ M_1q_1^2$, $ M_3q_1q_2$ | $M_2\phi_1^4$, $ M_3\phi_1^4$, $ \phi_1^3q_1q_2$ | 2 | 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 2*t^4.2 + 4*t^4.8 + 3*t^5.1 + 4*t^5.4 + 2*t^5.7 + 2*t^6. + 5*t^6.6 + 2*t^6.9 + 8*t^7.2 + 7*t^7.5 + 10*t^7.8 + 6*t^8.1 + 6*t^8.4 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - (2*t^6.3)/y - t^6.6/y - t^6.9/y - t^7.2/y - t^7.5/y - t^7.8/y - (3*t^8.1)/y - (3*t^8.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y - 2*t^6.3*y - t^6.6*y - t^6.9*y - t^7.2*y - t^7.5*y - t^7.8*y - 3*t^8.1*y - 3*t^8.7*y | 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 2*t^4.2 + 4*t^4.8 + 3*t^5.1 + 4*t^5.4 + 2*t^5.7 + 2*t^6. + 5*t^6.6 + 2*t^6.9 + 8*t^7.2 + 7*t^7.5 + 10*t^7.8 + 6*t^8.1 + 6*t^8.4 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - (2*t^6.3)/y - t^6.6/y - t^6.9/y - t^7.2/y - t^7.5/y - t^7.8/y - (3*t^8.1)/y - (3*t^8.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y - 2*t^6.3*y - t^6.6*y - t^6.9*y - t^7.2*y - t^7.5*y - t^7.8*y - 3*t^8.1*y - 3*t^8.7*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 45415 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ q_1^4$ + $ M_3\phi_1^2q_2$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ + $ M_4q_1q_2$ | 1.7543 | 1.8606 | 0.9429 | [X:[1.4], M:[0.9, 0.8, 0.8, 0.9], q:[0.5, 0.6], qb:[], phi:[0.3]] | 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 2*t^4.2 + 4*t^4.8 + 5*t^5.1 + 6*t^5.4 + t^5.7 + t^6. - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y | detail | {a: 56139/32000, c: 59539/32000, X1: 7/5, M1: 9/10, M2: 4/5, M3: 4/5, M4: 9/10, q1: 1/2, q2: 3/5, phi1: 3/10} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 45198 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ q_1^4$ + $ M_3\phi_1^2q_2$ | 1.8157 | 1.9407 | 0.9356 | [X:[], M:[0.8108, 1.0677, 0.8446], q:[0.5, 0.4661], qb:[], phi:[0.3446]] | t^2.07 + t^2.43 + t^2.53 + t^2.9 + t^3. + t^3.2 + t^3.93 + 2*t^4.14 + t^4.5 + t^4.6 + 2*t^4.86 + 3*t^4.97 + 3*t^5.07 + t^5.27 + t^5.33 + 2*t^5.43 + t^5.53 + t^5.64 + t^5.74 + t^5.8 + t^6. - t^4.03/y - t^5.43/y - t^5.53/y - t^4.03*y - t^5.43*y - t^5.53*y | detail |